1113 ÷ 4 = 278 R1
No problem, we've got 1113 and 4 for the division.

Step 1:
4 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 4

Step 2:
4 goes into 11 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 8 from 11 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 4

Step 3:
4 goes into 31 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 27
Subtract 28 from 31 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 4:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 278
Subtract 32 from 33 to get 1.

The final result is 278 with a remainder of 1.